Solve the following arithmetic expression: -3 3/4 - (-8 2/9 - (-4.5) : 9/14) * 2 1/4

Solution:

• Convert all numbers to fractions:
• -3 3/4 = -15/4
• -8 2/9 = -74/9
• -4.5 = -9/2
• 2 1/4 = 9/4
• Solve the expression within the innermost parentheses:
• -9/2 : 9/14 = -9/2 * 14/9 = -14/2 = -7
• Continue solving the expression within the outer parentheses:
• -74/9 - (-7) = -74/9 + 7 = -74/9 + 63/9 = -11/9
• Perform the multiplication:
• -11/9 * 9/4 = -11/4
• Finally, perform the subtraction:
• -15/4 - (-11/4) = -15/4 + 11/4 = -4/4 = -1

Answer: -1